# AIEEE 2009

Geometry Level 5

If $$P$$ and $$Q$$ are the points of intersection of the circles $$x^2 + y^2 + 3x+7y + 2p-5 = 0$$ and $$x^2+y^2 + 2x+2y-p^2 = 0$$, then there is a cirlce passing thorugh $$P,Q$$ and the point $$(1,1)$$ for:

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